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Finding the Fourth Proportional to 14,784.88, 20,403.15 and 8,070.40

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Solution

The fourth proportional to 14,784.88, 20,403.15 and 8,070.40 is: 11,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.88 : 20,403.15 = 8,070.40 : x
  2. Step 2: Convert to fraction form
    14,784.88/20,403.15 = 8,070.40/x
  3. Step 3: Cross multiply
    14,784.88x = 20,403.15 × 8,070.40
  4. Step 4: Simplify right side
    14,784.88x = 164,661,581.76
  5. Step 5: Solve for x
    x = 164,661,581.76/14,784.88
  6. Step 6: Final answer
    x = 11,137.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.